Chain recurrence in multidimensional time discrete dynamical systems

Piotr Oprocha

doi:10.3934/dcds.2008.20.1039

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2008, Volume 20, Issue 4: 1039-1056. Doi: 10.3934/dcds.2008.20.1039

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Chain recurrence in multidimensional time discrete dynamical systems

Piotr Oprocha^1,

1.
Faculty of Applied Mathematics, AGH University of Science and Technology, al. Mickiewicza 30, 30-059 Kraków

Received: February 28, 2007

Revised: October 31, 2007

Published: September 2008

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Abstract

The author investigates the behavior of multidimensional time discrete dynamical systems. Problems of expansivity, P.O.T.P. and chain recurrence are considered in particular. The main result of this article is a general version of Spectral Decomposition Theorem.

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Mathematics Subject Classification: Primary: 37C50; Secondary: 37B05.

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